Vibration characteristics of double‐piezoelectric‐nanoplate‐systems

In this reported work, the vibration response of a double‐piezoelectric‐nanoplate‐system (DPNPS) under an external electric voltage is investigated. The two piezoelectric nanoplates are coupled by a polymer matrix. Small scale effects are taken into consideration using the non‐local elasticity theory. Hamilton's principle is employed to derive the differential equations of motion. Explicit closed‐form expressions are derived for the natural frequencies and critical electric voltages of the DPNPS. The numerical results are presented for both in‐phase and out‐of‐phase vibrational modes. It is shown that the natural frequencies of the DPNPS are quite sensitive to the vibrational mode and non‐local parameter. The present work is likely to prove very useful in the designing of micro‐/nanodevices using smart nanocomposite.